Homework Help is Here – Start Your Trial Now!
Math
Statistics
I. EXERCISE Define binomial distribution and state its properties. L

I. EXERCISE Define binomial distribution and state its properties. L

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question
Toh cqnnot say Done binomial dist (1 of 4) [EXERCISE Define binomial distribution and state its properties. 1. 2. State the probability density function of normal distribution and state the Important properties of normal distribution. 3. It is observed that 30% of the students in a class are swimmers. If 3 students are selected at random from this class. What is the chance that only one of them is a swimmer. Also find the probability that at least one of them is a swimmer. 4. A die is thrown three times. Find the probability of obtaining atleast one six. 4.A. A fair die is rolled 5 times and occurrance of 2 or 3 is considered as success. Find the probability of (i) atleast 4 success, (ii) mode SA Arun has won 20 out of 30 games of chess against Bhaskar. In a new series of 6 games, what is the probability that Arun will win ? (i) 4 or more games (ii) all six games B. A certain type of plastic bag in the past has burst 30% of the time. If a prospective buyer tests 5 bags chosen at random, what is the probability that exactly one will burst? C. The probability that India wins one-day cricket match against England is given to be 1/3. If India and England play three one-day matches, find the probability that (i) India will lose all the three matches (ii) India will win at least one match. For a binomial distribution, the mean is 12 and the standard deviation is 3. Find the expression for calculating, the probability of obtaining at least one success. A. A box contains 100 Transistor 20 out of which are defective. 5 Transistors are selected for inspection, find the probability that (i) all 5 are defective (ii) At the most 3 are defective. 3. If 20% of the bolts produced by a machine are defective, determine the probability that out of 4 bolts (i) zero (ii) at the most (iii) at the most 2 bolts will be defective. If the mean of the binomial distribution is 3 and variance is 3/2, find the probability of getting atleast 5 successes. A. Assume the probability that a bomb dropped from an aeroplane will strike a target is 1/5. If 6 bombs are dropped, find the probability that (i) exactly two will strike the target (ii) at least two will strike the target. B. The probability that a will make a profit in any business deal is 0.8, what is the probability that he will make a profit exactly eight times in ten successive deals. Scanned with CamScanner SP SP SP 10. of the twelve accounts held in a file, four contain a procedural error in posting account balances. If an auditor audits three accounts at random, what is the probability that (i) at least (wo will contain an error? (ii) all of them contain an error? il A fair die is thrown 5 times. Getting an even number is a success. Find the probability of getting (i) no success (ii) at least one success. For a binomial distribution, the mean and the standard deviation are respectively 5 and 2. Find the probability of getting 2 successes. 12. Find n.p and q for Binomial distribution in following cases. mean 20 d
Transcribed Image Text:Toh cqnnot say Done binomial dist (1 of 4) [EXERCISE Define binomial distribution and state its properties. 1. 2. State the probability density function of normal distribution and state the Important properties of normal distribution. 3. It is observed that 30% of the students in a class are swimmers. If 3 students are selected at random from this class. What is the chance that only one of them is a swimmer. Also find the probability that at least one of them is a swimmer. 4. A die is thrown three times. Find the probability of obtaining atleast one six. 4.A. A fair die is rolled 5 times and occurrance of 2 or 3 is considered as success. Find the probability of (i) atleast 4 success, (ii) mode SA Arun has won 20 out of 30 games of chess against Bhaskar. In a new series of 6 games, what is the probability that Arun will win ? (i) 4 or more games (ii) all six games B. A certain type of plastic bag in the past has burst 30% of the time. If a prospective buyer tests 5 bags chosen at random, what is the probability that exactly one will burst? C. The probability that India wins one-day cricket match against England is given to be 1/3. If India and England play three one-day matches, find the probability that (i) India will lose all the three matches (ii) India will win at least one match. For a binomial distribution, the mean is 12 and the standard deviation is 3. Find the expression for calculating, the probability of obtaining at least one success. A. A box contains 100 Transistor 20 out of which are defective. 5 Transistors are selected for inspection, find the probability that (i) all 5 are defective (ii) At the most 3 are defective. 3. If 20% of the bolts produced by a machine are defective, determine the probability that out of 4 bolts (i) zero (ii) at the most (iii) at the most 2 bolts will be defective. If the mean of the binomial distribution is 3 and variance is 3/2, find the probability of getting atleast 5 successes. A. Assume the probability that a bomb dropped from an aeroplane will strike a target is 1/5. If 6 bombs are dropped, find the probability that (i) exactly two will strike the target (ii) at least two will strike the target. B. The probability that a will make a profit in any business deal is 0.8, what is the probability that he will make a profit exactly eight times in ten successive deals. Scanned with CamScanner SP SP SP 10. of the twelve accounts held in a file, four contain a procedural error in posting account balances. If an auditor audits three accounts at random, what is the probability that (i) at least (wo will contain an error? (ii) all of them contain an error? il A fair die is thrown 5 times. Getting an even number is a success. Find the probability of getting (i) no success (ii) at least one success. For a binomial distribution, the mean and the standard deviation are respectively 5 and 2. Find the probability of getting 2 successes. 12. Find n.p and q for Binomial distribution in following cases. mean 20 d
Expert Solution
steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman
SEE MORE TEXTBOOKS